What is the perimeter of ABDE?

Which of the following segments is a radius of OK?<br> ОА. АМТ<br> ОВ. Вт<br> Ос. AMR<br> O D. KM

FrozenT [24]

Answer:

A) TA

Step-by-step explanation:

A radius goes from the center of a circle to the outside edge.

RP connects two points on the outside edge of the circle without going through the center. This is not a radius.

TR connects two opposite points on the outside edge of the circle while going through the center. This is a diameter, not a radius.

GP connects two opposite points on the outside edge of the circle while going through the center. This is a diameter, not a radius.

TA connects the center of the circle to the outside edge. This is a radius.

8 0

3 years ago

Tell whether this equation has no solution, one solution, or infinitely

natali 33 [55]

Answer:

infinitely many solutions

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The midpoint of AB is M(1, -1). If the coordinates of A are (7, -4), what are the

Lera25 [3.4K]

Answer:

The point which is the midpoint is equally spaced from both ends of the line. We know the coordinates of A and we know the coordinates of M, the midpoint.

Step-by-step explanation:

3 0

3 years ago

The cost to rent a video game for 3 days was $10. It costs the same amount each day. How could one find the cost to rent the vid

koban [17]

Answer:The answer is the cost to rent for one day is the quotient of $10 and 3.

Step-by-step explanation:

5 0

3 years ago

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A very large batch of parts (assume a normal distrbution0 from a manufacturer has a mean weight = 43g and a standard deviation =

AVprozaik [17]

Answer:

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Percentage of parts with weights exceeding 45g?

1 subtracted by the pvalue of Z when X = 45. So

We have $\mu = 43, \sigma = 4$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{45 - 43}{4}$

$Z = 0.5$

$Z = 0.5$ has a pvalue of 0.6915

1 - 0.6915 = 0.3075

If you slect 16 parts at random form that batch, what is the probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g?

This is P(X = 8) when n = 16, p = 0.3075. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{16,8}.(0.3075)^{8}.(0.6915)^{8} = 0.0544$

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

4 0

3 years ago